Retrieval of the images came after investigators searching for the 84-year-old Nancy Guthrie detained a man for questioning, the Pima County Sheriff's Department said in an online statement.
A man who said he had been taken in for questioning later told reporters he had been released.
The sheriff's department also said that its deputies and an FBI forensic team conducted a court-authorised search of a "location" in Rio Rico, Arizona, about 100km south of Tucson near the Mexico border.
The new developments came as investigators search for new clues in the disappearance of Guthrie, who was last seen when family dropped her off at her home after she had dinner with them on January 31.
Relatives reported her missing the following day, according to the sheriff's department, after she failed to show up for Sunday church services.
In one break in the case, the FBI and sheriff's office on Tuesday released video footage captured outside Nancy Guthrie's front door by a Google Nest camera and recovered from discarded data found in a "back-end" digital repository.
The images, videos and still photos, show a man wearing a woollen ski mask, gloves, a backpack and a gun in a holster.
He approaches Nancy Guthrie's front door in the early hours of February 1, about the time she was abducted.
At one point in the video, the masked figure is seen trying to obscure the camera with foliage gathered from nearby, then appears to damage the camera.
The individual's head is down as he approaches the door, suggesting an awareness of the camera's location, according to a law enforcement source.
Facial hair is visible through the ski mask cut-out around the man's mouth.
Sheriff Chris Nanos has said the camera was disabled shortly before 2am local time on February 1, that Guthrie's pacemaker became disconnected from her phone about a half-hour later and that she was presumably taken from the house by force.
Traces of blood found on the front porch were confirmed by DNA tests to have come from Guthrie, officials said last week.
Law enforcement and family members have described her as being of limited mobility, in frail health and in need of daily medication to survive.
At least two purported ransom notes have surfaced since Nancy Guthrie vanished, both of them delivered initially to news media outlets.
But no proof of life is known to have surfaced following her abduction.
The elder Guthrie's disappearance has attracted wide attention.
White House press secretary Karoline Leavitt began her press briefing on Tuesday by saying she and President Donald Trump had just reviewed the newly released images in the case.
"The president encourages any American across the country with any knowledge of the suspect to please call the FBI, who continue to assist state and local authorities who are leading this investigation on the ground," Leavitt said.
Savannah Guthrie, 54, and her brother and sister have posted several video messages on social media pleading for the public to help with tips and for the kidnappers to return their mother or communicate with them directly.
The family has said that they would pay a ransom.
Savannah Guthrie, a longtime co-anchor of the NBC morning news program Today, shared the new images on Instagram on Tuesday with the caption: "We believe she is still alive. Bring her home."
